13514041034240 has 160 divisors (see below), whose sum is σ = 32967789212160. Its totient is φ = 5311879372800.

The previous prime is 13514041034237. The next prime is 13514041034243. The reversal of 13514041034240 is 4243014041531.

It is an interprime number because it is at equal distance from previous prime (13514041034237) and next prime (13514041034243).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13514041034197 and 13514041034206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13514041034243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42514295 + ... + 42830985.

It is an arithmetic number, because the mean of its divisors is an integer number (206048682576).

Almost surely, 2^{13514041034240} is an apocalyptic number.

13514041034240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13514041034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483894606080).

13514041034240 is an abundant number, since it is smaller than the sum of its proper divisors (19453748177920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13514041034240 is an equidigital number, since it uses as much as digits as its factorization.

13514041034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317004 (or 316988 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 13514041034240 its reverse (4243014041531), we get a palindrome (17757055075771).

The spelling of 13514041034240 in words is "thirteen trillion, five hundred fourteen billion, forty-one million, thirty-four thousand, two hundred forty".